Cubature over Polygonal Domains
Cubature of Isotropic Functions over Polygonal Domains
Two-Dimensional Midpoint Rule
Check if Polygon is Closed
Checks if Argument is Scalar
Plots a Polygonal Domain (of Various Classes)
Plot Polygonal Domain on Image of Bivariate Function
Cubature over Polygonal Domains
Quasi-Exact Cubature of the Bivariate Normal Density (DEFUNCT)
Check the Integral of
Integration of the Isotropic Gaussian Density over Circular Domains
Conversion between polygonal "owin" and "gpc.poly"
Coerce "SpatialPolygons" to "owin"
Dot/Scalar Product of Two Vectors
gpclib License Acceptance (OBSOLETE)
Wrapper Function for the Various Cubature Methods
Product Gauss Cubature over Polygonal Domains
Calculate 2D Nodes and Weights of the Product Gauss Cubature
Convert polygonal "sfg" to "gpc.poly"
Euclidean Vector Norm (Length)
Convert Various Polygon Classes to a Simple List of Vertices
Numerical integration of continuously differentiable functions f(x,y) over simple closed polygonal domains. The following cubature methods are implemented: product Gauss cubature (Sommariva and Vianello, 2007, <doi:10.1007/s10543-007-0131-2>), the simple two-dimensional midpoint rule (wrapping 'spatstat.geom' functions), and adaptive cubature for radially symmetric functions via line integrate() along the polygon boundary (Meyer and Held, 2014, <doi:10.1214/14-AOAS743>, Supplement B). For simple integration along the axes, the 'cubature' package is more appropriate.